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1 year ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

1 answer:

3241004551 [841]1 year ago

8 0

The area of a parallelogram is A=base × height of the parallelogram.

<h3>What is the area of the parallelogram about?</h3>

The parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal) and equal in length.

Examples of shapes that hold the same properties as parallelogram are: Rectangle

Rhombus

To calculate the area of a parallelogram:

Area of a parallelogram=Area = Base × Height

If the height of the parallelogram is unknown to us, then we can use this to find its area and the angle between the sides of the parallelogram is given.

Area = ab sin (x)Area of a Parallelogram

Using Diagonals: The area of any parallelogram can also be calculated using its diagonal lengths. There are two diagonals for a parallelogram that intersect each other. Suppose the diagonals intersect each other at an angle x"

Area = ½ × d1 × d2 sin (y)

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You make both rocking chairs and bar stools. You charge $100 for every rocking chair and $40 for every bar stool. Which expressi

sveta [45]

The amount that you get from rocking chairs is $100 × r which is $100r
and the amount that you gt from bar stools is $40×b which is $40b
The total amount will be the added amount of 100r + 40 b
so answer is 100r+40b

4 0

3 years ago

A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being

Fofino [41]

We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.

The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.

The 95% confidence for the population mean will be:

$(119-1.998 *\frac{16}{ \sqrt{64} } ,119+1.998 *\frac{16}{ \sqrt{64} }) \\ \\ 
=(115.004, 122.996) \\ \\=(115,123)$

Thus, the 95% confidence interval for the population mean will be (115,123)

So, option A is the correct answer

6 0

3 years ago

How do you do this? Please help

PtichkaEL [24]

Answer:

$PO=86.2\\ OM=23.8\\$

Step-by-step explanation:

To preface, your figure is going to be a line segment, with $O$ as your midpoint, in between points $P$ & $M.$

With that being said:

$PO+OM=PM$

Identify your values:

$PO=7y+12\\OM=3y-8\\PM=110$

Substitute the values into the first equation:

$7y+12+3y-8=110$

Combine like terms:

$10y+4=110$

Subtract $4$ from both sides of the equation:

$10y=106$

Divide by the coefficient of $y$ , which is $10$ :

$y=10.6$

Substitute $10.6$ for $y$ in segments $PO$ & $OM$ :

$PO=7(10.6)+12$

$OM=3(10.6)-8$

$PO=74.2+12$

$OM=31.8-8$

Solve:

$PO=86.2$

$OM=23.8$

Check your answers by substituting:

$PO+OM=PM$

$86.2+23.8=110$

8 0

4 years ago

What is -32−−−√-32 in simplest form?

Zanzabum

The answer to your question is -32 - 2 = -30

5 0

4 years ago

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Mrs. Powell has $800 invested in stocks and $500 invested in a Certificate of Deposit. The CD has an interest rate twice as grea

Mashutka [201]

Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%

7 0

4 years ago

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